Solve x=[tex]\sqrt{x} b^2-4ac\frac{x}{y} 2a[/tex]

Answers

Answer 1

The solutions to the quadratic function y = x² + 4x + 3, using the quadratic formula, are given as follows:

x = -1 and x = -3.

How to solve a quadratic function?

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

In which the leading coefficient a must assume a value different of zero.

The solutions to the quadratic function ax² + bx + c = 0 are obtained using the quadratic formula, as follows:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic function for this problem is defined as follows:

x² + 4x + 3 = 0.

Hence the coefficients are:

a = 1, b = 4, c = 3.

The first solution is:

[tex]x = \frac{-4 - \sqrt{4^2 - 4(1)(3)}}{2} = -3[/tex]

The second solution is:

[tex]x = \frac{-4 + \sqrt{4^2 - 4(1)(3)}}{2} = -1[/tex]

Missing Information

This problem was incomplete, hence the quadratic formula is used to solve y = x² + 4x + 3, as an example.

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Related Questions

Please graph the question in the image.

Answers

Answer:

I used desmos to make the graph

Step-by-step explanation:

Hopefully this helps!

Pls answer asap I’m literally stumped it’s not that hard tho

Answers

Answer:

[tex]d=11.3125[/tex]

Step-by-step explanation:

Given

[tex]\frac{-4(-8.625+2d)}{-8} +3=10[/tex]

Lets solve for [tex]d.[/tex]

Start on the left side with the fraction.

Factor -4 out of -8.

[tex]\frac{-4(-8.625+2d)}{-4(2)} +3=10[/tex]

Cancel the common factor of -4.

[tex]\frac{-8.625+2d}{2} +3=10[/tex]

Subtract 3 from both sides.

[tex]\frac{-8.625+2d}{2} =7[/tex]

Multiply both sides by 2.

[tex]\frac{-8.625+2d}{2} *2=14[/tex]

Cancel the common factor of 2.

[tex]-8.625+2d=14[/tex]

[tex]2d-8.625=14[/tex]

Add 8.625 to both sides.

[tex]2d=22.625[/tex]

Divide both sides by 2.

[tex]d=11.3125[/tex]

The average sale price of new one-family houses in the United States for a recent year was . Find the range of values in which at least of the sale prices will lie if the standard deviation is . Round your to the nearest whole number

Answers

The price range for 75% of sales will be between $149,300 and $343,300.

What is meant by Chebyshev's Theorem?

The minimum percentage of observations falling within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous probability distributions can use this theorem. Also known as Chebyshev's Inequality, Chebyshev's Theorem.

Between $149,300 and $343,300 is where 75% of transactions are priced. Only 75% of the distribution's numbers must fall within two standard deviations for Chebyshev's theorem to hold, which makes it weaker than the proportion of numbers that are within two standard deviations of the mean.

Since the standard deviation given exists 48500, 2 standard deviations will be 2 × 48500 = 97000.

The lower limit will be 246300 - 97000 and the upper limit will be 246300 + 97000.

Lower limit = 246300 - 97000 = 149300

Upper limit = 246300 + 97000 = 343300

So 75% of the sales prices will be between $149,300 and $343,300

The complete question is:

The average sale price of new one-family houses in the United States for 2003 was $246,300. Using Chebyshev's theorem, find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $48,500. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Please answer with whole numbers: ex. 55,232 to 65,450 with commas

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If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice

Answers

The probability of not getting result is found as 24.7%.

Explain the probability of experiment?

The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.

Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.

So,

P(Result) = 0.753.

P(no result) = 1 - 0.753

P(no result) = 0.247

Thus, the probability of not getting that result is found as 24.7%.

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The correct question is-

If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?

Find values of a and b that make the following equality into identity:
(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)
Giving 30+ points!

Answers

The values of a and b in the fraction are 21/17 and -8/17

How to determine the values of a and b

From the question, we have the following parameters that can be used in our computation:

(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)

Take the LCM

So, the expression can be expressed as

(2x+5)/(x-8)(2x+1)=a(2x+1) + b(x-8)/(x-8)(2x+1)

Multiply both sides by (x-8)(2x+1)

(2x+5) = a(2x+1) + b(x-8)

Open the brackets

2x + 5 = 2ax + a + bx - 8b

By comparison, we have

2a + b = 2

a - 8b = 5

Make a, the subject in a - 8b = 5

a = 5 + 8b

Substitute a = 5 + 8b in 2a + b = 2

10 + 16b + b = 2

Evaluate the like terms

17b = -8

Divide by 17

b = -8/17

Substitute b = -8/17 in a = 5 + 8b

a = 5 + 8 * -8/17

Evaluate

a = 5 - 64/17

So, we have

a = 21/17

Hence, the values are 21/17 and -8/17

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What is a polynomial of zero?

Answers

All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.

Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.

Thus, a polynomial with a value of zero has no value.

A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.

A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.

Like this: 0x^2 + 0x + 0.

The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.

Real numbers are believed to be the domain, while 0 is the range.

The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.

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The steps to solve an equation are shown below. Choose the reasons that are listed in the correct order to justify the steps in the solving process.

A- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality

B- 1. Given, 2. Multiplication Property of Equality, 3. Subtraction Property of Equality, 4. Division Property of Equality

C- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Multiplication Property of Equality

D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality

Answers

The steps to solve the equation  (5y - 1)/2 = 7 are assigned and attached

D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality

How to solve the given equation

The expression in the problem is (5y - 1)/2 = 7

Clearing the fraction

The fraction is cleared by applying the Multiplication Property of Equality

(5y - 1)/2 = 7

5y - 1 = 14

Adding 1 to both sides of the equation is done using Addition Property of Equality

5y - 1 + 1 = 14 + 1

5y = 15

Making y the subject of formula Division Property of Equality is applied

5y / 5 = 15 / 5

y = 5

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Triangle ABC is shown below

Answers

Answer:180 degrees

Step-by-step explanation: add the angles

Find y for 0.5y-2 2/5=1/2y+2.4

Answers

To solve this equation for y, you can follow these steps:

First, get all the terms with y on one side of the equation and all the other terms on the other side. To do this, you can add 2/5 to both sides to get rid of the 2/5 on the left side:

0.5y - 2 2/5 + 2/5 = 1/2y + 2.4 + 2/5

Simplify the left side of the equation:

0.5y - 2 + 2/5 = 1/2y + 2.4 + 2/5

0.5y - 2 + 2/5 + 2/5 = 1/2y + 2.4 + 2/5 + 2/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) - 2 = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 - 2 = 1/2y + 2.4 + 4/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

0.5y = 1/2y + 2.4

Subtract 1/2y from both sides:

0.5y - 1/2y = 1/2y - 1/2y + 2.4

0 = 2.4

Solve for y:

0 = 2.4

This equation has no solution, so there is no value of y that satisfies the given equation.

Answer:

Step-by-step explanation:nosoulution

Find the values of x and y in parallelogram PQRS.


PT =y. TR = 3x + 1, QT = 3y. TS = 5x + 11



x=


y=



PLEASE HELPPP!!!!

Answers

In the parallelogram PQRS, x = 2 and  y=7

Parallelogram:

A parallelogram is a quadrilateral with two pairs of parallel sides. A parallelogram has opposite sides of equal length and opposite angles of equal length. Also, the interior angles on the same side of the horizontal line are supplementary angles. The sum of all interior angles is 360 degrees. A three-dimensional shape whose faces are parallelograms is called a parallelepiped. The area of ​​a parallelogram depends on its base (one of its parallel sides) and its height (height drawn from top to bottom). The perimeter of a parallelogram depends on the length of its four sides.

Given that

PT=​y, TR=3x+​1, QT=3​y, TS=5x+11

The diagonals of a parallelogram bisect each other

PT = TR    and  QT = TS

y = 3x+1     and 3y = 5x+11

Now,

We have a system of equations

Multiply the first equation by 3

3y = 9x+3  and 3y = 5x+11

Set them equal

   9x + 3 = 5x + 11

⇒ 9x - 5x = 11 -3

⇒ 4x = 8

⇒ x =2

Now,

Putting the value of x =2 in equation :

y = 3x+1

  =3(2)+1

  =7

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What is the log value of log2?

Answers

The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.

In other words, log2(x) = y, where 2^y = x.

Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.

Therefore, the log value of log2 is 1.

Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.

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Estimate the difference by rounding each number to the nearest whole number and then subtracting.

10.04 − 6.3

Answers

Answer:

Estimate of difference is 4.

Step-by-step explanation:

10.04 = 10 to nearest whole number

6.3 = 6 to nearest whole number.

10 - 6 = 4.

The steepness of a ramp is graphed using the points (0,3) and (36,0). The steepness of a second ramp is represented by the function g(x)= -1/4x+2. What is the slope of the ramp?

Answers

The slope of a line is a measure of its steepness and can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, the points (0,3) and (36,0) represent the coordinates of two points on the ramp. To find the slope of the ramp, we can plug these values into the formula:

slope = (0 - 3) / (36 - 0) = -3 / 36 = -1/12

The slope of the ramp is -1/12. This indicates that the ramp is relatively flat, as a negative slope means that the line is sloping downward.

To find the slope of the second ramp, represented by the function g(x) = -1/4x + 2, we can take the derivative of the function. The derivative of a function represents the slope of the function at any given point, and it is calculated using the formula:

derivative = f(x) = -1/4

The derivative of the function g(x) is a constant value of -1/4, which means that the slope of the second ramp is also -1/4. This is a steeper slope than the first ramp, as the value of the derivative is larger in magnitude.

Is 4x² 3x 7 a polynomial?

Answers

As all the exponents of x are whole numbers, the expression 4x² – 3x + 7 is a polynomial in one variable.

What is exponents?

The exponent of a number shows how many times the original value of the number has been multiplied. For example, the number 34 indicates that we have multiplied three by four. 3 × 3 × 3 × 3 × 3 is its expanded form. Exponent is another term for a number's power. It might be a decimal, a fraction, a negative number, or a whole number.

Exponents are important because without them, writing the product when a number was repeated many times on its own would be very difficult. For example, it is much easier to write 57 than it is to write 5 × 5 × 5 × 5 × 5.

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Maria finished with 160 percent of her original amount. If she finished with 7200, what was Maria's original amount

Answers

On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation will be

1.8x=7200

x=7200/1.8

x=4000

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Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form

Answers

The answer in standard form is given by 65.7 ×10⁴

What is the Standard Form of a Number?

A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.

Given here:  (6.31 x 10⁵)+(2.6 x 10⁴)

Simplifying the equation further we get

(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴

                                    =65.7×10⁴

Hence, The answer in standard form is given by 65.7 ×10⁴

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What does log2 mean on a calculator?

Answers

The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x

What do we mean by an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

Therefore, the given expression log₅32 is equivalent to the expression log32/log5.

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seven pounds of fertilizer can cover 1400 square feet.canbe covered by 2 pounds of fertilizer

Answers

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

From the question, we have the following parameters that can be used in our computation:

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

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What is the formula of polynomial?

Answers

The general formula of a polynomial is:

P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0

A polynomial is a mathematical expression consisting of variables (such as x), coefficients, and exponents. The general formula of a polynomial is P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0. Here, a_n, a_(n-1), ... , a_2, a_1, and a_0 are coefficients, and n is the degree of the polynomial. The highest exponent in the polynomial is the degree of the polynomial. For example, in the polynomial 3x^2 + 5x – 8, x^2 is the highest exponent, so the degree of the polynomial is 2. The coefficient of the highest exponent is known as the leading coefficient. In the example above, 3 is the leading coefficient. Polynomials can be used to represent a variety of functions, from simple linear equations to complex curves.

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Find the missing angle. 60° 75° 75° ?​

Answers

Answer:

65?

Step-by-step explanation:

im not to sure but maybe 65

a number is at least 16

Answers

If x is our number, then x >= 16 (where >= is greater than or equal to symbol)

4 Siobhan and Ralph shared £700 in the
ratio 2:3.
Siobhan gave a quarter of her share to Karen.
Ralph gave a fifth of his share to Karen.
What fraction of the £700 did Karen receive?

Answers

Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

What is a proportion?

The rule of three is used to link the measures because a proportion is a fraction of a total amount. It is possible to construct equation or relations between variables that are either direct (when both rise or decrease) or inverse proportional (when one increases and the other declines, or vice versa) in order to determine the necessary measures in the situation.

Here,

Given :

Siobhan and Ralph shared £700 in the

ratio 2:3.

Thus,

280 / 420 = 2/3

Thus,

Siobhan and Ralph has  £280 and £420  respectively.

and Siobhan gave a share of quarter to karen :

So,

280/4 =70

Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

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If a temperature at 9pm i one third the temperature at midnight then what i the anwer ?

Answers

-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

What is temperature ?

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.

Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

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103M) solve on the interval 0 ≤ x < 2pi
sin ( 4x ) = √3 / 2

Answers

solving sin ( 4x ) = √3 / 2 , the value of x is 15°

What is trigonometry?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

For angle of 30° and 60°

sin 30° = 1/2

cos 60° = √3/2

tan60° = √3

for angle 60 °

sin60° = √3/2

cos 60° = 1/2

tan60° = 1/√3

since sin(4x) = √3/2

and sin 60° = √3/2

sin60° = sin(4x)

this means 60° = 4x

divide both sides 4

x = 60/4

x = 15°

therefore the value of x is 15°

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What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?

Answers

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

what is algorithm ?

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.

given

With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.

The outer loop, in the worst case, executes O(n) times.

Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).

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A commuter wants to determine the average price of gas in the area. Which is the best method of collecting a population sample so that the commuter can answer this question? Responses: A. Check gas prices at several gas stations near the commuter’s house. B. Find the gas prices over the past several years at a single particular gas station in the area. C. Look up a number of randomly selected gas stations in the area to find out gas prices. D. Survey friends on social media to see how much people are paying for gas.

Answers

The best method of collecting a population sample so that the commuter can answer this question is C. Look up a number of randomly selected gas stations in the area to find out gas prices.

What is the population?

The entire group about which you want to draw conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the total population size.

A sample is characterized as a more manageable and compact version of a larger group. a smaller population that possesses the traits of a larger population. When the population size is too large to include all participants or observations in the test, a sample is used in statistical analysis.

This method would be the most representative of the entire population of gas stations in the area, and therefore the most likely to produce an accurate average price.

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A weight is suspended from a spring is set into oscillating
motion by compressing it into a point 3 cm above its resting
position and releasing it. It will displace 3 cm past its resting
point. From the time it is released it will bounce at a rate of 3
cycles per second.

a. Draw a graphical representation and give the equation
involving the situation.

b. What is the displacement of the spring after 2.5
seconds?

Answers

a. The graphical representation of the oscillation of the weight suspended from a spring is a sine wave, with the displacement of the weight on the y-axis and time on the x-axis. The equation involving the situation would be y = Asin(2pift + phi) where A is the amplitude of the oscillation (3 cm in this case), f is the frequency of oscillation (3 cycles per second in this case), t is the time elapsed since the weight was released, and phi is the phase offset (0 in this case).

b. To find the displacement of the spring after 2.5 seconds, we can substitute 2.5 seconds for t in the equation: y = Asin(2pift + phi) = 3sin(2pi32.5 + 0) = 3sin(15pi) = 3*0 = 0 cm. So the displacement of the spring after 2.5 seconds is 0 cm.

What is an oscillation period?

By definition, period of oscillation of an oscillator is the time interval that the oscillating object needs to pass through its equilibrium position with velocity in the same direction.

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A
70°
B
E
30
What angle relationship describes angles CBE and DEB?

Answers

[tex]\angle CBE[/tex] and [tex]\angle DEB[/tex] are same-side interior angles.

Which shape has atleast one pair of perpenicular sides

Answers

The fourth shape which is a square has at least one pair of perpendicular sides.

What is a quadrilateral?

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

In the third figure, it is a parallelogram,

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The sum of adjacent angles is 180° but individuals are not right angles.

The fourth figure is a square and by the properties of a square, all the interior angles are right angles.

Therefore, It has two pairs of perpendicular sides.

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Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3
per pound and apples are $4 per pound. Jacqueline’s mother gave her $20 to spend. To
determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3 + 4 ≤ 20.

1. Define the variables Jacqueline used based on the context.
Let represent _______________________________________________.
Let represent _______________________________________________.
2. Explain why the inequality sign ≤ makes sense in this context.
3. Graph the inequality 3 + 4 ≤20.

4.The ordered pair (3, −4) is a solution to the inequality 3 + 4 ≤ 20.

Explain why
this is not a viable solution in the context of buying grapes and apples.

5. The ordered pair (4, 2) is a point on the boundary line. Explain what the ordered
pair represents in the situation.

Answers

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

What is inequality, exactly?

An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.

Here,

Given :  3x + 4y ≤ 20.

where x is the no of apples

and y is the no of grapes

Thus,

Part a:

where x is the no of apples

and y is the no of grapes

Part b:

Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.

Part c: ordered pair (3, −4)

Thus,

putting in the inequality we find:

=> 3(-3)+ 4(-4)

=> -6 -16

=> -22

Thus , it is not a solution for inequality.

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

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